`lim_(x rarr oo)(1+2+3+....+x)/(x^(2))`

lim_(x rarr oo)(x^(2)+3x)/(x^(2)+x+1)

lim_(x rarr oo)(2+sin x)/(x^(2)+3)

lim_ (x rarr oo) (1-2x) / (x ^ (2)) =?

lim_(x rarr oo)(2-(1)/(x)+(4)/(x^(2)))

lim_(x rarr oo)((x)/(1+x))^((x)/(2))=

lim_ (x rarr oo) (2x) ^ (3x) =

lim_ (x rarr oo) (1+ (2) / (x)) ^ (x)

Statement 1: lim_ (x rarr oo) ((1 ^ (2)) / (x ^ (3)) + (2 ^ (2)) / (x ^ (3)) + (3 ^ (2)) / (x ^ (3)) + ...... + (x ^ (2)) / (x ^ (3))) = lim_ (x rarr oo) (1 ^ (2)) / (x ^ ( 3)) + lim_ (x rarr oo) (2 ^ (2)) / (x ^ (3)) + ...... + lim_ (x rarr a) (x ^ (2)) / (x ^ (3)) lim_ (x rarr a) (f_ (1) (x) + f_ (2) (x) + ... + f_ (n) (x)) = lim_ (x rarr a) f_ (1) (x) + lim_ (x rarr a) f (x) + ...... + lim_ (x rarr a) f_ (n) (x)

lim_(x rarr oo)((3x^(2)+1)/(2x^(2)-1))^((x^(3))/(1-x))

lim_(x rarr oo)((3x^(2)+1)/(2x^(2)-1))^((x^(3))/(1-x))